3y-2x+5=y-5

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Solution for 3y-2x+5=y-5 equation:


Simplifying
3y + -2x + 5 = y + -5

Reorder the terms:
5 + -2x + 3y = y + -5

Reorder the terms:
5 + -2x + 3y = -5 + y

Solving
5 + -2x + 3y = -5 + y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-5' to each side of the equation.
5 + -2x + -5 + 3y = -5 + -5 + y

Reorder the terms:
5 + -5 + -2x + 3y = -5 + -5 + y

Combine like terms: 5 + -5 = 0
0 + -2x + 3y = -5 + -5 + y
-2x + 3y = -5 + -5 + y

Combine like terms: -5 + -5 = -10
-2x + 3y = -10 + y

Add '-3y' to each side of the equation.
-2x + 3y + -3y = -10 + y + -3y

Combine like terms: 3y + -3y = 0
-2x + 0 = -10 + y + -3y
-2x = -10 + y + -3y

Combine like terms: y + -3y = -2y
-2x = -10 + -2y

Divide each side by '-2'.
x = 5 + y

Simplifying
x = 5 + y

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